The sodomites were known to be bullies , fuck shit up torture & rape , being especially mean to poor folks. The story of lot seems odd to me especially offering his daughters to be raped.
There’s a version where they gang rape and beat up a woman all night & then cut her into 12 pieces and send them all over Israel.
I feel you, he offered his daughters up so that they wouldnt touch or do harm to the men/angels/messengers that were going to Sodom. There's some things on that story that people don't question too. Like how were their daughters virgins but married? When marrage is through sex (gen.25 last verse) . when you see Virgin means just young woman in the hebrew and the words they used for a virgin was "hadent known man". You can then question (my mentality) if the Virgin Mary was in fact a virgin or just a young woman. (Once you/if you know about that topic we can have a good ass conversation on the virgin Mary)
That woman you're talking about is a different story thats in Judges 19.. That event lead up to a big ass war because of that too. Some people say its for his honor, but I think its some deeper meaning. There's also israelite law that cleared him for doing that, even tho its fucked up. This event stirred up hella shit in the story at that point.
The story of Lot IS fucked up. But thats the thing the bible talks about the good the bad and the UGLY. In Islam, they dont even have the story of Lot because its "disrespect" to say that that happened. The bible didnt omit it like how they did, if it happened; it happened.
Look up the story of Dinah, the tribe of Israel's sister in Genesis chapter 34. That was wild too.